Predicting from a trajectory (or collection of trajectories) the number
of underlying diffusive states, diffusion coefficients associated
with each state, and characterizing the rate of transition between
different states is a continuing area of research [1]}, [2]}, [3]}, [4]}, [5]}, [6]}.
Robust identification of the number of underlying diffusive states
is a notoriously difficult problem that may provide insight into the
nature of interactions between an objective particle and specific components of its environment.
Likewise, the ability to estimate kinetic parameters of reactions
that give rise to switch diffusion processes open up potential avenues
into researching treatments to related pathologies. For instance,
SPT experiments could be used to screen drug candidates to treat aberrant
signaling behavior, or to study the kinetic impact of mutations on
the signaling or regulatory competence of membrane proteins. Inference
of these parameters and quantification of the robustness of these
inferences are the primary objectives of this work.
